water is moving at a velocity of 2m/s through a hose with an internal diameter:1.60cm. What is the flow rate in liters per second?
To calculate the flow rate of water through the hose, we need to know the area of the cross-section and the velocity.
First, let's convert the internal diameter from centimeters to meters:
Internal Diameter = 1.60 cm = 0.016 m
Now, we can calculate the cross-sectional area of the hose using the formula for the area of a circle:
Area = π * (radius)^2
Radius = Internal Diameter / 2 = 0.016 m / 2 = 0.008 m
Area = π * (0.008 m)^2
Next, we can calculate the flow rate using the formula:
Flow Rate = Area * Velocity
Flow Rate = π * (0.008 m)^2 * 2 m/s
Finally, we can convert the flow rate from cubic meters per second to liters per second. Since 1 cubic meter is equal to 1000 liters:
Flow Rate (liters per second) = Flow Rate (cubic meters per second) * 1000
Flow Rate (liters per second) = π * (0.008 m)^2 * 2 m/s * 1000
Now, let's calculate the flow rate:
Flow Rate (liters per second) = π * (0.008^2) * 2 * 1000
Flow Rate (liters per second) ≈ 0.032 L/s
Therefore, the flow rate of water through the hose is approximately 0.032 liters per second.